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Finding the Fourth Proportional to 82,455.96, 123,614.68 and 57,422.10

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Solution

The fourth proportional to 82,455.96, 123,614.68 and 57,422.10 is: 86,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,455.96 : 123,614.68 = 57,422.10 : x
  2. Step 2: Convert to fraction form
    82,455.96/123,614.68 = 57,422.10/x
  3. Step 3: Cross multiply
    82,455.96x = 123,614.68 × 57,422.10
  4. Step 4: Simplify right side
    82,455.96x = 7,098,214,516.43
  5. Step 5: Solve for x
    x = 7,098,214,516.43/82,455.96
  6. Step 6: Final answer
    x = 86,084.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.